• DocumentCode
    256949
  • Title

    Stability of asynchronous Boolean networks

  • Author

    Zhiqiang Li ; Huimin Xiao

  • Author_Institution
    Coll. of Math. & Inf. Sci., Henan Univ. of Econ. & Law, Zhengzhou, China
  • fYear
    2014
  • fDate
    10-12 Aug. 2014
  • Firstpage
    496
  • Lastpage
    500
  • Abstract
    In this paper, using semi-tensor product and the vector form of Boolean logical variables, the asynchronous Boolean networks under different update schemes are converted into probabilistic discrete time dynamic systems, and the structure matrix of discrete time dynamic systems is a probabilistic transaction. It provides a new way to study the properties of random Boolean networks. Under this framework, the stability of asynchronous Boolean network is discussed, and some sufficient conditions for the stability of cycles are obtained.
  • Keywords
    Boolean functions; discrete time systems; tensors; Boolean logical variables; asynchronous Boolean networks; probabilistic discrete time dynamic systems; probabilistic transaction; random Boolean networks; semitensor product; stability; vector form; Biology; Equations; Mathematical model; Matrix converters; Presses; Stability analysis; Vectors; Asynchronous logical system; Cycles; Logical matrix; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Advanced Mechatronic Systems (ICAMechS), 2014 International Conference on
  • Conference_Location
    Kumamoto
  • Type

    conf

  • DOI
    10.1109/ICAMechS.2014.6911596
  • Filename
    6911596
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=256949